Summary: Journal of Pure and Applied Algebra 150 (2000) 1­25
www.elsevier.com/locate/jpaa
Characteristic cycles of local cohomology
modules of monomial ideals
Josep Alvarez Montaner
Departament de MatemÂatica Aplicada I, Universitat PolitÂecnica de Catalunya, Avinguda Diagonal 647,
Barcelona 08028, Spain
Received 11 August 1998
Communicated by C.A. Weibel
Abstract
We study, by using the theory of algebraic D-modules, the local cohomology modules sup-
ported on a monomial ideal I of the local regular ring R = k[[x1; : : : ; xn]], where k is a ÿeld of
characteristic zero. We compute the characteristic cycle of Hr
I (R) and Hp
m (Hr
I (R)), where m is
the maximal ideal of R and I is a squarefree monomial ideal. As a consequence, we can decide
when the local cohomology module Hr
I (R) vanishes and compute the cohomological dimension
cd(R; I) in terms of the minimal primary decomposition of the monomial ideal I. We also give

Source: Alvarez Montaner, Josep - Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya

Collections: Mathematics